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GrogVix
2 months ago
6

A flying saucer crashes in a Nebraska cornfield. The FBI investigates the wreckage and finds an engineering manual containing an

equation in the Martian number system: 325 + 42 = 411. If this equation is correct, how many fingers would you expect Martians to have?
Mathematics
1 answer:
AnnZ [12.3K]2 months ago
6 0

Answer:

6 fingers

Step-by-step reasoning:

Let X signify the base of the numbering system.

Assuming X > 0

Then we can write:

325 = 3 * X² + 2 * X¹ + 5 * X°

325 = 3X² + 2X + 5

42 = 4 * X¹ + 2 * X°

42 = 4X + 2

In addition,

411 = 4 * X² + 1 * X¹ + 1 * X°

42 = 4X² + X + 1

Consequently, 325 + 42 = 11 results in

3X² + 2X + 5 + 4X + 2 = 4X² + X + 1 ------ Collecting Like Terms

3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0

-X² + 5X + 6 = 0 ------- Multiplying both sides by -1

X² - 5X - 6 = 0 ------- Factoring the Equation

X² - 6X + X - 6 = 0

X(X - 6) + 1(X - 6) = 0

(X + 1)(X - 6) = 0

X + 1 = 0 or X - 6 = 0

X = -1 or X = 6

Since X>0

Thus, X = -1 is not valid

Resulting in X = 6

The anticipated number of fingers for the Martian is 6

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